Greatest Common Factor of 9701/839, 3654/9027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9701/839, 3654/9027

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9701/839,3654/9027

Given fractions are 9701/839,3654/9027

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9701,3654

Greatest Common Factor of Numerators i.e. GCF of 9701,3654 is 1 .

LCM of Denominators means LCM of 839,9027 as per the given fractions.

LCM of 839,9027 is 7573653 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9701,3654

GCF of Fractions 9701/839,3654/9027 is 1/7573653

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9701,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 9701,3654 By Matching Biggest Common Factor Method

Factors of 9701

List of positive integer factors of 9701 that divides 9701 without a remainder.

1,89,109,9701

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 9701,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 9701,3654 is 1.

Lets's calculate LCM of 839,9027

Given numbers has no common factors except 1. So, there LCM is their product i.e 7573653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7573653

Therefore, the GCF of Fractions 9701/839,3654/9027 is 1/7573653

Least Common Multiple of 839,9027 with GCF Formula

Least Common Multiple of 839,9027 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 839,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,9027) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(839,9027) x common factors =1 x 1 = 1

LCM(839,9027) = ( 839 × 9027 ) / 1

LCM(839,9027) = 7573653 / 1

LCM(839,9027) = 7573653


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9701/839, 3654/9027

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9701/839, 3654/9027?

Answer: GCF of Numerators as per given numbers 9701/839, 3654/9027 is

GCF of Numerators i.e. for 9701,3654 is 1

LCM of denominators i.e. for 839,9027 is 7573653.

Thus, GCF of Fractions is 1/7573653.Finally, GCF of Fractions for 9701/839, 3654/9027 is 1/7573653.